Finding the Fourth Proportional to 1,637,173,863,898.20, 2,259,148,313,653.80 and 905,546,523,812.24
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Solution
The fourth proportional to 1,637,173,863,898.20, 2,259,148,313,653.80 and 905,546,523,812.24 is: 1,249,570,340,277.98
Step by Step Solution
- Step 1: Write the proportion equation
1,637,173,863,898.20 : 2,259,148,313,653.80 = 905,546,523,812.24 : x - Step 2: Convert to fraction form
1,637,173,863,898.20/2,259,148,313,653.80 = 905,546,523,812.24/x - Step 3: Cross multiply
1,637,173,863,898.20x = 2,259,148,313,653.80 × 905,546,523,812.24 - Step 4: Simplify right side
1,637,173,863,898.20x = 2,045,763,902,205,482,533,650,432 - Step 5: Solve for x
x = 2,045,763,902,205,482,533,650,432/1,637,173,863,898.20 - Step 6: Final answer
x = 1,249,570,340,277.98
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.